Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by the graphs of the functions y = x², y = 32 - x², and x = 3 about the y-axis. (Use symbolic notation and fractions where needed.)

Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by the graphs of the functions y = x², y = 32 – x², and x = :1 about the y-axis. (Use symbolic notation and fractions where needed.)